Homework #6 is due Friday November 9. Do the
following exercises from Chapter 5 of the lecture
notes.

Chapter 5: 5.5*, 5.6*, 5.7*, 5.9*, 5.10, 5.13*, 5.16, 5.17*, 5.19,
5.20*, 5.21* (The formula in Folland is off by a minus sign. Please also notice
that Exercise 5.7 had some errors, the hopefully correct version is here.)

Homework #7 is due Monday November 19.,
Wednesday November 21. Do the
following exercises from Chapter
6 of the lecture
notes.

Remarks on Homework

The homework is an important part of this class. The
homework is your best chance to learn the material in this course. You may
consult others on the problems, but in the end you are responsible for
understanding the material. I suggest that you try all the problems on your own
before consulting others. Even false starts on problems will help you learn.

Dan Curtis is the grader for this course. Here is
what he will be looking for in your solutions.

The solutions must be written clearly. This includes good
handwriting and good English. If I have to struggle to read what
you have written, I will not grade the problem!

The solutions should be complete and clear. A good rule of
thumb is: if you have some doubt about your solution it is probably wrong
or at best incomplete.

Results that you use in your proof from undergraduate
analysis or from the text book or the notes should be stated clearly. Here
is an example of what I am looking for:

… So we have shown that fn converges to f
uniformly. Since each fn is continuous and the uniform
limit of continuous functions is continuous, we know that f is
continuous.